We just mentioned how Leonard pairs are related to orthogonal polynomials.
Leonard pairs have applications to many other areas of mathematics and physics,
such as
Lie theory [1]}, [2]}, [3]}, [4]}, [5]}, [6]},
quantum groups [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]},
spin models [15]}, [16]}, [17]}, [18]},
double affine Hecke algebras [19]}, [20]}, [21]}, [22]}, [23]},
partially ordered sets [24]}, [25]}, [26]}, [27]},
and exactly solvable models in statistical mechanics
[28]}, [29]}, [30]}, [31]}, [32]}, [33]}, [34]}.
For more information about Leonard pairs and related topics,
see [35]}, [36]}, [2]}, [38]}, [39]}.
